Question

A rectangular garden has a length that is modeled by the expression 2x-7 and a width of 3x2+4x
What is the area of the garden?
a.3x2-28x+17
b.673-13x2-28%
c.6x2+21x2+8x-28
d.6x3-21x2+8X​

Answer 1

Answer:

d)

Step-by-step explanation:

HOPE IT WILL HELP YOU. SOLUTION IS IN THE PICTURE.

Answer 2

$\underline {\pink { Dimensions \:of \: a \: Rectangle\:garden : }}$

$Length (l) = 2x - 7 \\ and \: width (w) = 3x^{2}+4x$

$Area \: of \: the \: rectangle (A) \\= length \times width \\= (2x-7)(3x^{2} + 4x) \\= 2x(3x^{2}+4x) -7(3x^{2} + 4x ) \\= 6x^{3}+ 8x^{2} - 21x^{2} - 28x \\= 6x^{3} - 13x^{2} - 28x$

Therefore.,

$\red{Area \: of \: the \: rectangle} \\\green {= 6x^{3} - 13x^{2} - 28x}$

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